%0 Conference Paper %1 citeulike:7461093 %A Dryja, Maksymilian %B Domain Decomposition Methods for Partial Differential Equations %D 1991 %E Glowinski, R. %E Kuznetsov, Y. A. %E Meurant, G. %E Périaux, J. %E Widlund, O. B. %I Society for Industrial and Applied Mathematics %K 65m60-pdes-ibvps-finite-elements 65m55-pdes-ibvps-multigrid-methods-domain-decomposition %P 264--271 %T Substructuring Methods for Parabolic Problems %U http://www.ddm.org/DD04/Substructuring\_Methods\_for\_Parabolic\_Problems.pdf %X Domain decomposition methods without overlapping for the approximation of parabolic problems are considered. Two kinds of methods are discussed. In the first systems of algebraic equations resulting from the approximation on each time level are solved iteratively with a Neumann--Dirichlet preconditioner. The second method is direct and similar to certain iterative methods with a Neumann--Neumann preconditioner. An analysis of convergence of the methods is presented. %& 24 %@ 0898712785

@inproceedings{citeulike:7461093, abstract = {{Domain decomposition methods without overlapping for the approximation of parabolic problems are considered. Two kinds of methods are discussed. In the first systems of algebraic equations resulting from the approximation on each time level are solved iteratively with a Neumann--Dirichlet preconditioner. The second method is direct and similar to certain iterative methods with a Neumann--Neumann preconditioner. An analysis of convergence of the methods is presented.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Dryja, Maksymilian}, biburl = {https://www.bibsonomy.org/bibtex/24cf8bd7f5c4785dd0613187a7e56d0d7/gdmcbain}, booktitle = {Domain Decomposition Methods for Partial Differential Equations}, chapter = 24, citeulike-article-id = {7461093}, citeulike-attachment-1 = {dryja_91_substructuring_515720.pdf; /pdf/user/gdmcbain/article/7461093/515720/dryja_91_substructuring_515720.pdf; 8a3226ef1fe6cf29653b968cffb3d9a90b9ec50b}, citeulike-linkout-0 = {http://www.ddm.org/DD04/Substructuring\_Methods\_for\_Parabolic\_Problems.pdf}, comment = {(private-note)cited by Mathew (2008, p. 191) for noniterative time-stepping domain decomposition}, editor = {Glowinski, R. and Kuznetsov, Y. A. and Meurant, G. and P\'{e}riaux, J. and Widlund, O. B.}, file = {dryja_91_substructuring_515720.pdf}, interhash = {d027d447db25dad54f54ffc767ca9634}, intrahash = {4cf8bd7f5c4785dd0613187a7e56d0d7}, isbn = {0898712785}, keywords = {65m60-pdes-ibvps-finite-elements 65m55-pdes-ibvps-multigrid-methods-domain-decomposition}, location = {Moscow, Russia (May 21-25 1990)}, pages = {264--271}, posted-at = {2010-07-12 01:07:11}, priority = {2}, publisher = {Society for Industrial and Applied Mathematics}, timestamp = {2019-04-04T01:14:26.000+0200}, title = {{Substructuring Methods for Parabolic Problems}}, url = {http://www.ddm.org/DD04/Substructuring\_Methods\_for\_Parabolic\_Problems.pdf}, year = 1991 }